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Suppose that \(G \sim \mathcal {G}(n, f)\)  and let \(F\)  be a possible subgraph configuration of \(G\) , namely \(|F| \le |G|\) . Define \(\mu _F(f)\)  to be the expectation of \(f\)  under the configuration \(F\) . That is, define:
\( \mu _F(f): = \mathbb {E}\left[\prod _{u,v \in F} f(x_u, x_v) \right] \) 
